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On the Discretization of a Class of Homogeneous Differentiators

Abstract : This paper proposes explicit and implicit discrete-time realizations for a class of homogeneous sliding-mode-based differentiators. The proposed approach relies on the exact discretization of the continuous differentiator. Also, it is demonstrated that the proposed implicit discretization always exists, is non-anticipative and unique. A numerical simulation shows the better performance of the implicit scheme over the proposed and the referenced explicit implementations.
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https://hal-uphf.archives-ouvertes.fr/hal-03519369
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Submitted on : Monday, January 10, 2022 - 2:25:24 PM
Last modification on : Tuesday, January 11, 2022 - 3:43:22 AM

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Jose Eduardo Carvajal Rubio, Alexander Loukianov, Juan Diego Sanchez-Torres, Michael Defoort. On the Discretization of a Class of Homogeneous Differentiators. 16th International Conference on Electrical Engineering, Computing Science and Automatic Control (CCE'19), Sep 2019, Mexico City, Mexico. pp.1-6, ⟨10.1109/ICEEE.2019.8884567⟩. ⟨hal-03519369⟩

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